Research profile
Richard Borcherds
Author of work recommended on this site.
- 8
- on the reading lists
Why people read this work
On the reading lists
What this site's guides and courses recommend by Richard Borcherds, and why. Each opens its Library entry.
- A good place to startVideoComplex analysis: Harmonic functions
When a harmonic function is the real part of a holomorphic one, and why the domain must be simply connected.
Recommended in Guidebook 5A.4: Harmonic Functions and Conformal Mapping · Guidebook 6A.2: Harmonic Functions
- VideoComplex analysis: Cauchy’s integral formula
The integral formula and its consequences: Taylor series, Liouville’s theorem and Morera’s theorem.
Recommended in Guidebook 5A.2: Cauchy’s Theorem and Its Consequences
- VideoComplex analysis: Cauchy’s theorem
Cauchy’s theorem and why holomorphic integrals depend only on homotopy class.
Recommended in Guidebook 5A.2: Cauchy’s Theorem and Its Consequences
- VideoComplex analysis: Holomorphic functions
What it means for a function of a complex variable to be differentiable.
Recommended in Guidebook 5A.1: Holomorphic Functions Are Conformal
- VideoComplex analysis: Maximum modulus principle
The maximum modulus principle, the complex cousin of the maximum principle for harmonic functions.
Recommended in Guidebook 5A.2: Cauchy’s Theorem and Its Consequences
- VideoComplex analysis: Residue calculus
Computing real integrals with residues.
Recommended in Guidebook 5A.3: Residues and Fourier Transforms
- VideoComplex analysis: Singularities
Removable singularities, poles and essential singularities.
Recommended in Guidebook 5A.3: Residues and Fourier Transforms
- VideoRiemann mapping theorem
Every proper simply connected open subset of the plane is conformally the disc: the statement and a sketch of the proof.
Recommended in Guidebook 5A.4: Harmonic Functions and Conformal Mapping
This number in this community
About this page
Is this your page?
It is yours to shape. Send anything that should be added or corrected: your preferred spelling, an ORCID, a homepage, a line about your work. Or ask for the page to be removed. Someone reads every message. Mention NP-RC-381793 so it reaches the right page.
What this page covers
NP-RC-381793 is Richard Borcherds's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.
A window on one part of a person's work: papers here go back to 2021 and cover Ricci flow and its neighbouring flows, with the older work the site recommends, so this page is no measure of anyone's whole output. Being listed is not an endorsement by or of the person. If two people share this name, their work may appear together here. How it is put together.